36408283968 has 224 divisors, whose sum is σ = 117479511040. Its totient is φ = 9719377920.

The previous prime is 36408283957. The next prime is 36408283979. The reversal of 36408283968 is 86938280463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36408283957) and next prime (36408283979).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854363 + ... + 1873893.

Almost surely, 2^36408283968 is an apocalyptic number.

36408283968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36408283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58739755520).

36408283968 is an abundant number, since it is smaller than the sum of its proper divisors (81071227072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36408283968 is a wasteful number, since it uses less digits than its factorization.

36408283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19645 (or 19635 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 36408283968 in words is "thirty-six billion, four hundred eight million, two hundred eighty-three thousand, nine hundred sixty-eight".